“…Point group 2 y(m) ' is also consistent with the observation of the linear magneto-optic effect48 in LiCoPO4,49 which is possible in the 66 magnetic point groups allowing piezomagnetism ͑Table II of Ref. 29͒, but which is not permitted in the initially assumed group m x m y m z Ј .…”
Neutron-scattering and magnetic susceptibility studies of single-crystal LiCoPO 4 are reported. The neutrondiffraction results indicate that in the antiferromagnetic phase the moments are not strictly aligned along the b axis, as previously reported ͓R. P. Santoro et al., J. Phys. Chem. 27, 1192 ͑1996͔͒, but are uniformly rotated from this axis by a small angle (Ϸ4.6°). This rotation breaks the mirror symmetry along the orthorhombic b axis. Symmetry considerations based on this rotation, on the magnetoelectric effect, and on a recently observed weak spontaneous magnetization along the spin direction, implying a so-far-unknown ferrimagneticlike kind of weak ferromagnetism, allow one to postulate the monoclinic magnetic point group 2Ј. The diffraction data are analyzed in terms of weakly coupled two-dimensional Ising antiferromagnets. The large anisotropy in the susceptibility is explained in terms of the single-ion anisotropy and anisotropic exchange interactions. We argue that the alignment of the magnetic moments in the antiferromagnetic phase is determined by the singleion anisotropy even though the exchange along this direction is the weakest.
“…Point group 2 y(m) ' is also consistent with the observation of the linear magneto-optic effect48 in LiCoPO4,49 which is possible in the 66 magnetic point groups allowing piezomagnetism ͑Table II of Ref. 29͒, but which is not permitted in the initially assumed group m x m y m z Ј .…”
Neutron-scattering and magnetic susceptibility studies of single-crystal LiCoPO 4 are reported. The neutrondiffraction results indicate that in the antiferromagnetic phase the moments are not strictly aligned along the b axis, as previously reported ͓R. P. Santoro et al., J. Phys. Chem. 27, 1192 ͑1996͔͒, but are uniformly rotated from this axis by a small angle (Ϸ4.6°). This rotation breaks the mirror symmetry along the orthorhombic b axis. Symmetry considerations based on this rotation, on the magnetoelectric effect, and on a recently observed weak spontaneous magnetization along the spin direction, implying a so-far-unknown ferrimagneticlike kind of weak ferromagnetism, allow one to postulate the monoclinic magnetic point group 2Ј. The diffraction data are analyzed in terms of weakly coupled two-dimensional Ising antiferromagnets. The large anisotropy in the susceptibility is explained in terms of the single-ion anisotropy and anisotropic exchange interactions. We argue that the alignment of the magnetic moments in the antiferromagnetic phase is determined by the singleion anisotropy even though the exchange along this direction is the weakest.
“…To this end, we will make use of the effective potential method that has been developed in [18][19][20]. Euler equation (11) can be represented in the Hamiltonian form as follows: (13) Statistical investigation implies determination of function Π(σ, p, t), which is the probability density of the presence of stress σ and its derivative at given time instant t. In other words, it is λ-averaged (λ is the noise intensity) distribution function ρ(σ, p, t) of solutions to system (13), (14) We assume that function ρ = ρ(σ, p, t) satisfies the continuity equation (15) Substituting equalities (13) into (15), we come to the Liouville equation (16) with operators (17) In terms of the interaction representation, a microscopic distribution function is given by ϖ = ρ, so that Eq.…”
-The melting of an ultrathin lubricant film at friction between atomically smooth surfaces is studied with allowance for fluctuations of its temperature, which are described by the Ornstein-Uhlenbeck process. The behavior of the most probable types of shear stresses arising in the lubricant is considered, and phase diagrams for second-and first-order phase transformations (the melting of an amorphous lubricant and that of a crystalline lubricant, respectively) are constructed. It is shown that, in the former case, lubricant temperature fluctuations lead to the formation of a stick-slip friction domain separating the domains of dry and sliding friction, which is typical of first-order transitions. In the latter case, three domains of stick-slip friction arise, which mark the transitions between dry friction and metastable and stable sliding friction. As the time of correlation of lubricant temperature fluctuations gets longer, the temperature of rubbing surfaces rises to the point where sliding friction sets in.
“…The limiting passage to the non-screened Coulomb interaction in the equation (19) we perform after prior reformulation of the equation by extracting explicitly the term g 1 0 (ǫ)V C , which corresponds to the pure Coulomb interaction, from the kernel (19). Transposing this term to the left side of the equation (19) …”
Section: The Passage To the Unscreened Coulomb Interactionmentioning
confidence: 99%
“…(19), that determines the scattering wave function of the reduced two-particle problem and the effective wave function (24), we perform by applying the known Gorshkov-Vesselova recipe [5,6]. Notice that the quantities describing the system with the unscreened Coulomb interaction we denote by the same letters but without overscribed bar.…”
Section: The Passage To the Unscreened Coulomb Interactionmentioning
confidence: 99%
“…2 | p − p ′ | −1 , (e 1 e 2 ) 3 ln(| p − p ′ | ρ 0 ) and (e 1 e 2 ) 4 | p − p ′ | occur when the transfer momentum tends to zero (| p − p ′ |→ 0) and the behaviour of the polarization potential at asymptotically large [15][16][17][18] and intermediate [19][20] distances has been determined in an explicit form.…”
On the basis of the Faddeev integral equations method and the Watson-Feshbach concept of the effective (optical) interaction potential, the first fully consistent threebody approach to the description of the penetration of a charged particle through the Coulomb field of a two-particle bound complex (composed of one charged and one neutral particles) has been developed. A general formalism has been elaborated and on its basis, to a first approximation in the Sommerfeld parameter, the influence of the nuclear structure on the probability of the penetration of a charged particle (the muon, the pion, the kaon and the proton) through the Gamow barrier of a two-fragment nucleus (the deuteron and the two lightest lambda hypernuclei,
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